4.7 Article

Viscoelastic steady-state rolling contacts: A generalized boundary element formulation for conformal and non-conformal geometries

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PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2022.105129

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Viscoelasticity; Conformal contacts; Boundary element method; Friction; Tribology

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A general methodology for solving two-dimensional steady-state viscoelastic circular contact problems has been developed. The methodology relies on a specially defined steady-state viscoelastic Green's function, which can be used for different materials and engineering systems.
A general Boundary Element methodology is developed to study two-dimensional steady-state viscoelastic circular contact problems. The methodology relies on an ad hoc defined steady-state viscoelastic Green's function, which accounts for the circular domain, typical, for example, of a mechanical pin joint, and can be employed to manage any real viscoelastic material, characterized by a continuum spectrum of relaxation times. The contact problem can be then easily formulated in the form of a spatial convolution product between surface stresses and displacement, which paves the way to solve contact problems of a countless number of engineering relevant systems, where multiple viscoelastic contacts occur. These include, inter alia, viscoelastic rolling element bearings, and pin joints.

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